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arXiv · 2412.17607

Donagi-Markman cubics for Hitchin systems of type A2, B2. G2

Ugo Bruzzo·Peter Dalakov
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Abstract

We obtain explicit formulae for the Donagi-Markman (Bryant-Griffiths, Yukawa) cubic for Hitchin systems of type $A_2$, $B_2$ and $G_2$. This is achieved by evaluating the quadratic residues in the Balduzzi-Pantev formula, using a previous result of ours. For $G_2$ we also recover earlier results of Hitchin.

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Ugo Bruzzo, Peter Dalakov. 2024-12-23. Donagi-Markman cubics for Hitchin systems of type A2, B2. G2. https://arxiv.org/abs/2412.17607

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